961069342446720 has 6144 divisors, whose sum is σ = 4427945533440000. Its totient is φ = 195119960555520.

The previous prime is 961069342446569. The next prime is 961069342446721. The reversal of 961069342446720 is 27644243960169.

961069342446720 is a `hidden beast` number, since 9 + 6 + 10 + 6 + 93 + 424 + 46 + 72 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (961069342446721) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 672546774966 + ... + 672546776394.

It is an arithmetic number, because the mean of its divisors is an integer number (720694260000).

Almost surely, 2^{961069342446720} is an apocalyptic number.

961069342446720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961069342446720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213972766720000).

961069342446720 is an abundant number, since it is smaller than the sum of its proper divisors (3466876190993280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961069342446720 is a wasteful number, since it uses less digits than its factorization.

961069342446720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 961069342446720 in words is "nine hundred sixty-one trillion, sixty-nine billion, three hundred forty-two million, four hundred forty-six thousand, seven hundred twenty".